Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

275×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	10	205
1	21	205
2	37	180
3	60	180
4	105	180
5	180	180
6	299	180
7	358	180
8	446	180
9	709	180
10	1241	180
11	3547	180
done	5000	180

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `fma-def` `flip3--` `associate-l` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

10.0ms	(+ x (* y (/ (- z t) (- z a))))
23.0ms	(/ (- z t) (- z a))
48.0ms	(* y (/ (- z t) (- z a)))

series274.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(+ x (* y (/ (- z t) (- z a))))
65.0ms	(/ (- z t) (- z a))
93.0ms	(* y (/ (- z t) (- z a)))

simplify1.7s

Counts

131 → 131

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	168	32470
1	460	30028
2	1822	29267
done	5002	29187

prune729.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
4.6b	(cbrt (/ (- z t) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

96.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
16.0ms	(cbrt (/ (- z t) (- z a)))
22.0ms	(cbrt (/ (- z t) (- z a)))
15.0ms	(cbrt (/ (- z t) (- z a)))

series715.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
186.0ms	(cbrt (/ (- z t) (- z a)))
189.0ms	(cbrt (/ (- z t) (- z a)))
196.0ms	(cbrt (/ (- z t) (- z a)))

simplify2.0s

Counts

162 → 162

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	160	67472
1	310	63776
2	651	63655
3	1988	62895
done	5001	62251

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z a))
4.6b	(cbrt (/ (- z t) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`div-inv`

Counts

4 → 118

Calls

4 calls:

10.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z a))
8.0ms	(cbrt (/ (- z t) (- z a)))
8.0ms	(cbrt (/ (- z t) (- z a)))

series911.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (- z t))
210.0ms	(cbrt (- z a))
244.0ms	(cbrt (/ (- z t) (- z a)))
222.0ms	(cbrt (/ (- z t) (- z a)))

simplify2.4s

Counts

130 → 130

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	205	51716
1	392	48010
2	882	48010
3	2797	47050
done	5000	46292

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))
0.6b	(* (cbrt (- z t)) (cbrt (- z t)))
1.6b	(cbrt (/ (cbrt (- z t)) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

131×	`cbrt-prod`
104×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
65×	`times-frac`
42×	`add-cube-cbrt`
34×	`cbrt-div`
29×	`distribute-lft-out--`
27×	`difference-of-squares`
14×	`flip3--` `flip--`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3`
8×	`frac-times` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `associate-l/` `associate-r/` `associate-/r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 176

Calls

4 calls:

23.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))
41.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
10.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
14.0ms	(cbrt (/ (- z t) (- z a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))
209.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
541.0ms	(cbrt (/ (cbrt (- z t)) (- z a)))
189.0ms	(cbrt (/ (- z t) (- z a)))

simplify3.0s

Counts

188 → 188

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	393	92799
1	766	82681
2	2816	82162
done	5000	81482

prune1.8s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes845.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	205
1	12	205
done	12	205

end0.0ms

sample1.4s

Algorithm

intervals

Results

499.0ms	8710×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid